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Finding the Third Proportional to 173,494 and 268,118

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Solution

The third proportional to 173,494 and 268,118 is: 414,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,494 : 268,118 = 268,118 : x
  2. Step 2: Convert to fraction form
    173,494/268,118 = 268,118/x
  3. Step 3: Cross multiply
    173,494x = 268,118 × 268,118
  4. Step 4: Simplify right side
    173,494x = 71,887,261,924
  5. Step 5: Solve for x
    x = 71,887,261,924/173,494
  6. Step 6: Final answer
    x = 414,350.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.